# Nonlinear Chiral Plasma Transport in Rotating Coordinates

## TL;DR

This paper investigates nonlinear transport phenomena in inhomogeneous chiral plasma within rotating frames, revealing new effects from Coriolis and centrifugal forces, and deriving evolution equations for chemical potentials.

## Contribution

It provides a detailed analysis of chiral plasma transport in rotating coordinates, including second-order distribution functions and current densities with novel rotational effects.

## Key findings

- Derived vector and axial current densities including rotational effects.
- Identified new terms from Coriolis and centrifugal forces in plasma transport.
- Established evolution equations for chemical potentials conserving particle number.

## Abstract

The nonlinear transport features of inhomogeneous chiral plasma in the presence of electromagnetic fields, in rotating coordinates are studied within the relaxation time approach. The chiral distribution functions up to second order in the electric field in rotating coordinates and the derivatives of chemical potentials are established by solving the Boltzmann transport equation. First, the vector and axial current densities in the weakly ionized chiral plasma for vanishing magnetic field are calculated. They involve the rotational analogues of the Hall effect as well as several new terms arising from the Coriolis and fictitious centrifugal forces. Then in the short relaxation time regime the angular velocity and electromagnetic fields are treated as perturbations. The current densities are obtained by retaining the terms up to second order in perturbations. The time evolution equations of the inhomogeneous chemical potentials are derived by demanding that collisions conserve the particle number densities.